一个关于二阶偏导的问题设f具有二阶连续偏导数,求函数u=f(x,x/y)的混合二阶偏导数,αu/αx = f1 + (1/y)f2 ,α2u/αxαy = f12 (-x)/y2 + f2 (-1)/y2 + f22 (-x) /y3 这里面f1、f2和f12、f22都是什么意思?
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![一个关于二阶偏导的问题设f具有二阶连续偏导数,求函数u=f(x,x/y)的混合二阶偏导数,αu/αx = f1 + (1/y)f2 ,α2u/αxαy = f12 (-x)/y2 + f2 (-1)/y2 + f22 (-x) /y3 这里面f1、f2和f12、f22都是什么意思?](/uploads/image/z/15004347-51-7.jpg?t=%E4%B8%80%E4%B8%AA%E5%85%B3%E4%BA%8E%E4%BA%8C%E9%98%B6%E5%81%8F%E5%AF%BC%E7%9A%84%E9%97%AE%E9%A2%98%E8%AE%BEf%E5%85%B7%E6%9C%89%E4%BA%8C%E9%98%B6%E8%BF%9E%E7%BB%AD%E5%81%8F%E5%AF%BC%E6%95%B0%2C%E6%B1%82%E5%87%BD%E6%95%B0u%3Df%28x%2Cx%2Fy%29%E7%9A%84%E6%B7%B7%E5%90%88%E4%BA%8C%E9%98%B6%E5%81%8F%E5%AF%BC%E6%95%B0%2C%CE%B1u%2F%CE%B1x+%3D+f1+%2B+%281%2Fy%29f2+%2C%CE%B12u%2F%CE%B1x%CE%B1y+%3D+f12+%28-x%29%2Fy2+%2B+f2+%28-1%29%2Fy2+%2B+f22+%28-x%29+%2Fy3+%E8%BF%99%E9%87%8C%E9%9D%A2f1%E3%80%81f2%E5%92%8Cf12%E3%80%81f22%E9%83%BD%E6%98%AF%E4%BB%80%E4%B9%88%E6%84%8F%E6%80%9D%3F)
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